Finding the Fourth Proportional to 1,105.80, 1,658.72 and 456.45

Step by Step Solution

1. Step 1: Write the proportion equation
   1,105.80 : 1,658.72 = 456.45 : x
2. Step 2: Convert to fraction form
   1,105.80/1,658.72 = 456.45/x
3. Step 3: Cross multiply
   1,105.80x = 1,658.72 × 456.45
4. Step 4: Simplify right side
   1,105.80x = 757,122.74
5. Step 5: Solve for x
   x = 757,122.74/1,105.80
6. Step 6: Final answer
   x = 684.68